Rigidity theorem for harmonic maps with complex normal boundary conditions

doi:10.1142/S0129167X19400019

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	Rigidity theorem for harmonic maps with complex normal boundary conditions
	Li, Song-Ying 1; Luo, Jie 2,3
	2019-12-01
发表期刊	INTERNATIONAL JOURNAL OF MATHEMATICS
ISSN	0129-167X
卷号	30 期号:13 页码:18
摘要	Let B-n be the open unit ball in C-n and let (M-m, g) be a Kahler manifold with strongly negative or strongly semi-negative curvature. In this paper, we study Siu type rigidity theorem for the harmonic map u is an element of C-2 ((B-n) over bar , A4) satisfying the boundary condition that Sigma(n)(i,j=1) z(i)(z) over bar (j)u(i)(j) over bar = 0 on partial derivative B-n We also prove the existence and uniqueness theorem for some Neumann type boundary value problem for harmonic functions on B-n.
关键词	Harmonic maps Pluriharmonic maps Rigidity theorem Neumann problem
DOI	10.1142/S0129167X19400019
收录类别	SCI
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000503464900002
出版者	WORLD SCIENTIFIC PUBL CO PTE LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/50511
专题	中国科学院数学与系统科学研究院
通讯作者	Li, Song-Ying
作者单位	1.Univ Calif Irvine, Dept Math, Irvine, CA 92697 USA 2.Fujian Normal Univ, Coll Math & Informat, Fuzhou 350117, Fujian, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Li, Song-Ying,Luo, Jie. Rigidity theorem for harmonic maps with complex normal boundary conditions[J]. INTERNATIONAL JOURNAL OF MATHEMATICS,2019,30(13):18.
APA	Li, Song-Ying,&Luo, Jie.(2019).Rigidity theorem for harmonic maps with complex normal boundary conditions.INTERNATIONAL JOURNAL OF MATHEMATICS,30(13),18.
MLA	Li, Song-Ying,et al."Rigidity theorem for harmonic maps with complex normal boundary conditions".INTERNATIONAL JOURNAL OF MATHEMATICS 30.13(2019):18.